Show that each of the following sets are linearly dependent by finding a nontrivial linear combination...

Transcribed Image Text:

Show that each of the following sets are linearly dependent by finding a nontrivial linear combination that equals the zero vector. (a) (1,0), (2.0), (0.1) (b) (1,2,3), (4,0,-1), (-5, 6, 11). For each triple of vectors, find the value(s) of h so that that triple of vectors is linearly independent. (a) (1,1, 1), (1, 1, 2), (1, 1, h) (b) (0, h, h), (h, h, 0), (h,0, h) (c) (1, 1, 1), (2, 3, 4), (5, h, h) Show that each of the following sets are linearly dependent by finding a nontrivial linear combination that equals the zero vector. (a) (1,0), (2.0), (0.1) (b) (1,2,3), (4,0,-1), (-5, 6, 11). For each triple of vectors, find the value(s) of h so that that triple of vectors is linearly independent. (a) (1,1, 1), (1, 1, 2), (1, 1, h) (b) (0, h, h), (h, h, 0), (h,0, h) (c) (1, 1, 1), (2, 3, 4), (5, h, h)

Answer rating: 100% (QA)

a 10 20 01 Let c1 1 c2 1 c3 0 Then c110 c220 c301 110 0 Therefore the vectors are linearly dependent ... View the full answer